Box spline

In the mathematical fields of numerical analysis and approximation theory, box splines are piecewise polynomial functions of several variables. Box…

Papers overview

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2018

For the class of non-degenerate box splines, we present a set construction scheme that yields the explicit piecewise polynomial…

2010

The semi-discrete convolution with the Box Spline is an important tool in approximation theory. We give a formula for the…

1999

We give a generalization of box splines. We prove some of their properties and we give applications to interpolation and…

1996

Trimmer Class STrimmer is the abstract base surface trimmer class. For every refinement level it defines the trimming of a…

1995

To blend be~ween simple implicit surfaces, such as the sphere, the cone, the cylinder and the torus, we propose La locally employ…

1995

Box splines are a multivariate extension of uniform univariate B-splines. Direct evaluation of a box spline basis function can be…

1995

We construct a polynomial spline similar to the box spline, except that we relax the condition that its knots are spaced…

1991

We describe a simple method for generating tilings of IR d . The basic tile is defined as := {x ∈ IR d : |f(x)| < |f(x + j)| ∀j…

1991

SummaryWe describe an algorithm for (bivariate) cardinal interpolation which can be applied to translates of “basis functions…

1988

Etablissement des resultats d'existence et d'unicite pour l'interpolation a deux variables par des fonctions splines quadratiques…